Q. The concentration of oxalic acid is $'x^{'}mol\ L^{- 1}$. 40 mL. of this solution reacts with 16 mL of 0.05 M acidified $KMnO_{4}$. What is the pH of $'x'$ M oxolic acid solution? (Assume that oxalic acid dissociates completely)

A) 1.3
B) 1.699
C) 1
D) 2
Explanation

(a)
Oxalic acid = $x$ mol/L
Oxalic acid $KMnO_{4}$
$M_{1}V_{1} = M_{2}V_{2}$
$40\ mL \times x = 16\ mL \times 0.05$
$x = \frac{16 \times 0.05}{40} = \frac{1}{50}$
$x = \frac{1}{50}$ M
Now, convert molarity into normality
$N \times eq.wt = M \times mol.wt.of\ oxalic\ acid$
$N \times 45 = \frac{1}{50} \times 90$
$N = \frac{1}{25}$
This normality represents the hydrogen ion concentration.
So, $\left\lbrack H^{+} \right\rbrack = \frac{1}{25}$
$pH = \log\frac{1}{\lbrack H^{+}\rbrack}$
$= \log{25 = 1.3}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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